Which sequence of y-values was formed from the function y = -2x - 9 using whole numbers for x?

Solution:

We will substitute whole numbers for x.

For x = 0, y = -2(0) - 9 = -9

For x = 1, y = -2(1) - 9 = -11

For x = 2, y = -2(2) - 9 = -13

For x = 3, y = -2(3) - 9 = -15

As we continue substituting the values of x, note that the values of y are decreasing by 2 units than the previous term.

The above terms of y-values are just 2 less than their previous values, that is, the common difference between any two consecutive terms is -2.

Thus, this forms an arithmetic sequence with a common difference of -2.

Which sequence of y-values was formed from the function y = -2x - 9 using whole numbers for x?

Summary:

The function y = -2x - 9 using whole numbers for x forms an arithmetic sequence with a common difference of -2.